Answer:
find the simplified boolean expression of X = (A'.B'.C'.D)+(A'.B'.C.D')+(A'.B'.C.D)+(A'.B.C'.D)+(A'.B.C.D)+(A.B'.C.D)+(A.B.C'.D)
172 Prove that A-B = B.A. Show that A.B can be interpreted either as B times the component of A in the direction of B, or as A times the component of B in the direction of A Calculate the dot product of the two vectors, A.B, given below: (No units) a) b) (This takes only one or two lines.) c) 1) 2) 3) 4) 5) 6) A-20 along the +X axis, B = 15 at 370 above the +X...
Prove the following vector identity using index notation A X (BXC) = (A.C)B - (A.B)C
1. (10 points) What language is accepted by the following NFA? a.b a.b
f: Sn->Z where Sn is the set of permutations. f(a.b)=f(a)f(b) for all a,b in Sn, then f is identicaly 0, 1, signature function. Prove and explain.
10. a) Use Xû -0 to prove that y β0 + β, ž b) Given the result in part a), prove that mean()-y (sample mean of the y-hats equals the sample mean of the y,'s).
Find the available Neumann B.C and Mixed B.C of the following 1D laplace eq. And find the solution(answer). Are - 0- V = Ax B d 0 Are - 0- V = Ax B d 0
Let : C tl.ti 0 → C 0 1 given by f z z Prove that the map is a regular covering and find generators for the subgroup π1(C 0 1 1 2 corresponding to this cover Let : C tl.ti 0 → C 0 1 given by f z z Prove that the map is a regular covering and find generators for the subgroup π1(C 0 1 1 2 corresponding to this cover
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C (b) Prove that when z є R, the definition of exp z given above is consistent with the one given in problem (2a), assignment 16. Definition from Problem (2a): L(x(1/t)dt E(z) = L-1 (z) 2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C...
(3) Suppose that f E C'((0, 1]). Given e > 0, prove that there exists a polynomial p such that lf-plloo -p'| <E (3) Suppose that f E C'((0, 1]). Given e > 0, prove that there exists a polynomial p such that lf-plloo -p'|